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2010-09-23, 14:51
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#144 |
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Tribal Bullet
Oct 2004
354110 Posts |
Did you compile this using MSVC or use one of Jeff Gilchrist's precompiled windows binaries? If yes, there's a bug in the linear algebra that Brian Gladman fixed a few days ago, and as a stopgap you can use the v1.47 windows binary from the sourceforge page (which doesn't have the bug because it's compiled with gcc).
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2010-10-06, 05:19
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#145 |
Oct 2004
Austria
1001101100102 Posts |
c145: 86 cpu-hours of -np and not any poly found
I am currently GNFSing a c145 (a cofactor of the latest iteration of aliquot sequence 10212) and now I am ~86 cpu-hours (i7 @ 2.8 GHz) into poly search using Msieve 1.46 (CPU-version): So far I have not found any polynomial.
the screen output looks like this: Code:
random seeds: 36047390 94219475 factoring 3732013142391051119910921824210118145697203242752440325707923031128358903935348233134692108821450288 107857802781290883472699630382457381898449683 (145 digits) searching for 15-digit factors commencing number field sieve (145-digit input) commencing number field sieve polynomial selection time limit set to 97.75 hours searching leading coefficients from 1 to 564255 deadline: 400 seconds per coefficient coeff 60-600 64433833 83763983 83763984 108893179 lattice 8388832 p 64433833 83763983 83763984 108893179 lattice 8388832 batch 5000 78318761 batch 2042 83763991 p 49564486 64433832 108893183 141561139 lattice 4963806 batch 5000 64180301 batch 80 64433857 p 38126527 49564485 141561141 184029484 lattice 2937163 batch 3638 49564499 deadline: 400 seconds per coefficient coeff 660-1200 71074014 92396218 92396219 120115084 lattice 10944462 p 71074014 92396218 92396219 120115084 lattice 10944462 batch 5000 84281851 batch 3189 92396303 p 54672318 71074013 120115088 156149613 lattice 6476013 batch 5000 68482951 deadline: 400 seconds per coefficient coeff 1260-1800 74609853 96992808 96992809 126090651 lattice 13014213 p 74609853 96992808 96992809 126090651 lattice 13014213 batch 5000 88614661 batch 3102 96992813 p 57392194 74609852 126090653 163917849 lattice 7700718 batch 5000 72343651 deadline: 400 seconds per coefficient coeff 1860-2400 77077762 100201090 100201091 130261418 lattice 14772180 p 77077762 100201090 100201091 130261418 lattice 14772180 batch 5000 90092381 batch 3996 100201403 p 59290586 77077761 130261421 169339846 lattice 8740934 batch 5000 72667501 deadline: 400 seconds per coefficient coeff 2460-5400 81894218 106462483 106462484 138401229 lattice 22469046 p 81894218 106462483 106462484 138401229 lattice 22469046 batch 5000 87016351 batch 5000 92079131 batch 5000 97056511 batch 5000 101986741 batch 4529 106462487 deadline: 400 seconds per coefficient coeff 5460-8400 86645227 112638795 112638796 146430434 lattice 26947936 p 86645227 112638795 112638796 146430434 lattice 26947936 batch 5000 91657651 batch 5000 96525151 batch 5000 101427731 batch 5000 106228921 deadline: 400 seconds per coefficient coeff 8460-11400 89806889 116748956 116748957 151773644 lattice 30747693 p 89806889 116748956 116748957 151773644 lattice 30747693 batch 5000 94835621 batch 5000 99771211 batch 5000 104644391 batch 5000 109495361 deadline: 400 seconds per coefficient coeff 11460-14400 92202823 119863670 119863671 155822772 lattice 34086455 p 92202823 119863670 119863671 155822772 lattice 34086455 batch 5000 97129031 batch 5000 102034411 batch 5000 106879141 batch 5000 111671281 deadline: 400 seconds per coefficient coeff 14460-17400 94142778 122385611 122385612 159101295 lattice 37092613 p 94142778 122385611 122385612 159101295 lattice 37092613 batch 5000 99029701 batch 5000 103906051 batch 5000 108716941 batch 5000 113481551 deadline: 400 seconds per coefficient coeff 17460-20400 95778395 124511913 124511914 161865488 lattice 39845592 p 95778395 124511913 124511914 161865488 lattice 39845592 batch 5000 100656431 batch 5000 105529351 batch 5000 110355061 batch 5000 115103551 deadline: 400 seconds per coefficient coeff 20460-23400 97195678 126354381 126354382 164260696 lattice 42397991 p 97195678 126354381 126354382 164260696 lattice 42397991 batch 5000 102106021 batch 5000 106951661 batch 5000 111813571 batch 5000 116551601 deadline: 400 seconds per coefficient coeff 23460-26400 98448290 127982777 127982778 166377611 lattice 44786612 p 98448290 127982777 127982778 166377611 lattice 44786612 batch 5000 103333511 batch 5000 108128021 batch 5000 112930151 batch 5000 117655361 deadline: 400 seconds per coefficient coeff 26460-29400 99572048 129443662 129443663 168276761 lattice 47038336 p 99572048 129443662 129443663 168276761 lattice 47038336 batch 5000 104386031 batch 5000 109166501 batch 5000 113933591 batch 5000 118596601 deadline: 400 seconds per coefficient coeff 29460-32400 100592086 130769712 130769713 170000626 lattice 49173485 p 100592086 130769712 130769713 170000626 lattice 49173485 batch 5000 105465691 batch 5000 110300051 batch 5000 115003591 batch 5000 119711881 deadline: 400 seconds per coefficient coeff 32460-35400 101526751 131984776 131984777 171580210 lattice 51207842 p 101526751 131984776 131984777 171580210 lattice 51207842 batch 5000 106323361 batch 5000 111124841 batch 5000 115872161 batch 5000 120587381 deadline: 400 seconds per coefficient coeff 35460-38400 102389853 133106808 133106809 173038851 lattice 53153956 p 102389853 133106808 133106809 173038851 lattice 53153956 batch 5000 107232101 batch 5000 112004171 batch 5000 116687111 deadline: 400 seconds per coefficient coeff 38460-41400 103192057 134149674 134149675 174394577 lattice 55021991 p 103192057 134149674 134149675 174394577 lattice 55021991 batch 5000 107974381 batch 5000 112731391 batch 5000 117443231 batch 5000 122118671 batch 5000 126764951 batch 5000 131375731 deadline: 400 seconds per coefficient coeff 41460-44400 103941779 135124313 135124314 175661608 lattice 56820314 p 103941779 135124313 135124314 175661608 lattice 56820314 batch 5000 108780781 batch 5000 113579161 batch 5000 118309141 batch 5000 123015041 batch 5000 127655951 deadline: 400 seconds per coefficient coeff 44460-47400 104645781 136039515 136039516 176851370 lattice 58555909 p 104645781 136039515 136039516 176851370 lattice 58555909 batch 5000 109526671 batch 5000 114322441 batch 5000 119052331 batch 5000 123759101 batch 5000 128477861 <-- last line as of now Code:
poly 11 p 135152767 q 145304629 coeff 19638322667258443 poly 11 p 135208399 q 145270709 coeff 19641819985484891 poly 30 p 135198403 q 145148233 coeff 19623809299871899 poly 33 p 135226127 q 145130767 coeff 19625471529949409 poly 30 p 135228749 q 145321849 coeff 19651691842636901 poly 10 p 135217013 q 145174349 coeff 19630041835999537 Have the parameters been changed between 1.45 and 1.46, so that 1.46 only outputs superkalifragelistigexpialigoric polynomials? Or was it just bad luck with 1.46 and good luck with the 1.45 GPU-run? |
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2010-10-06, 17:37
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#146 |
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Tribal Bullet
Oct 2004
3,541 Posts |
None of the degree-5 code has changed between v1.45 and v1.46; the GPU code got somewhat faster, but I think most of the difference is the performance gap between CPU and GPU.
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2010-10-06, 17:54
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#147 | |
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Oct 2004
Austria
2·17·73 Posts |
Quote:
BTW: my best poly is: Code:
R0: -8963497409556758629345860972 R1: 19683233448182377 A0: 39013925483873724802274206728137815 A1: 1062511623552559794023800147263 A2: 1519551721902671844300379 A3: -342040625795062587 A4: -273011920586 A5: 64500 skew 1953916.78, size 5.101027e-014, alpha -6.628828, combined = 1.101153e-011 Last fiddled with by Andi47 on 2010-10-06 at 17:55 |
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2010-10-07, 02:52
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#148 |
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Tribal Bullet
Oct 2004
3,541 Posts |
Well, the CPU code is not that well optimized, so a factor of 10 difference is not impossible. How many of the polynomials found have the same A5 and R1? Polynomials with matching A5/R1 are derived from the same stage 1 hit, so getting lucky once can generate hundreds to tens of thousands of polynomials.
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2010-10-07, 05:20
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#149 | |
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Oct 2004
Austria
2×17×73 Posts |
Quote:
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2010-10-07, 22:17
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#150 |
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Tribal Bullet
Oct 2004
3,541 Posts |
I count just over 20 hits in your file; about half the polynomials came from just one of those hits. Sounds reasonable to me...
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2010-12-11, 16:30
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#151 |
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Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
23·3·5·72 Posts |
I am running a polynomial selection job on a cpu for a c84 currently. I am getting loads on polynomials(too many). msieve is output loads of 7e-8 polynomials but it looks like the limit should be much higher as 8e-8 polys are common with there still being quite a few(probably plenty enough at least including >8.5e-8) polys from 9e-8-1.176e-7. Is this huge amount of extra polynomials just because I have hit a lucky number or do the params need adjusting.
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2010-12-11, 19:07
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#152 |
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Tribal Bullet
Oct 2004
3,541 Posts |
Very likely the parameters need adjusting. The original parameters were derived by experiment, you pick a bound and see how many stage 1 hits you get, then adjust the bound so that only the top ~10% of polynomials are found at all. Unfortunately this method breaks down when computers get faster and/or the code is ported to use a GPU :)
The amount of testing at the very small sizes (< c90) has also been very small. |
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2010-12-12, 13:24
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#153 | |
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Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
23×3×5×72 Posts |
Quote:
I could run a few dozen cpu runs over christmas(is it based on cpu time or clock time?). |
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2010-12-12, 14:21
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#154 |
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Tribal Bullet
Oct 2004
3,541 Posts |
There's an additional constraint with c85-size numbers, in that the whole job should take 30 minutes or less with QS, so it may be easier to stop after you find 10 polynomials and just sieve with the best one. The postprocessing would probably take 2-5 minutes, since it has to read several files from disk several times, so it would be best to give over as much time as possible to the sieving.
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